Chapter 1 ALGEBRAIC METHODS

1.1 Arithmetic Operations with algebraic fractions

1.2 Improper Fractions

CHAPTER 2 FUNCTIONS AND GRAPHS

2.1 The Modulus Function

2.2 Functions and Mappings

2.3 Composite Functions

2.4 Inverse Functions

2.5 y=|f(x)| and y=f(|x|)

2.6 Combining Transformations

2.7 Solving Modulus Problems

CHAPTER 3 TRIGONOMETRIC FUNCTIONS

3.1 Secant, Cosecant and Cotangent

3.2 Graphs of sec x, cosec x and cot x

3.3 Using sec x, cosec x and cot x

3.4 Trigonometric identities

3.5 Inverse Trigonometric functions

CHAPTER 4 TRIGONOMETRIC ADDITION FORMULAE

4.1 Addition Formulae

4.2 Using the Angle Addition Formulae

4.3 Double Angle Formulae

4.4 Solving Trigonometric Equations

4.5 Simplifying a cos x +/-b sin x

4.6 Proving Trigonometric Identities

CHAPTER 5 EXPONENTIALS AND LOGARITHMS

5.1 Exponential Functions
5.2 y = ae^(bx) + c
5.3 Natural Logarithms
5.4 Logarithms and Non-Linear Data
5.5 Exponential Modelling

CHAPTER 6 DIFFERENTIATION

6.1 Differentiating sin x and cos x
6.2 Differentiating Exponentials and Logarithms
6.3 The Chain Rule
6.4 The Product Rule
6.5 The Quotient Rule
6.6 Differentiating Trigonometric Functions

CHAPTER 7 INTEGRATION

7.1 Integrating Standard Functions
7.2 Integrating f(ax + b)
7.3 Using Trigonometric Identities
7.4 Reverse Chain Rule

CHAPTER 8 NUMERICAL METHODS

8.1 Locating Roots
8.2 Fixed Point Iteration